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Question 310006
JEE Mathematics · Medium

Application of Derivatives: Second derivative test MCQ

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Second derivative testMediumQuestion 310006

Question

If f'(a) = 0 and f''(a) > 0, then x = a is:
  1. A
    Local minimum
    Correct
  2. B
    Local maximum
  3. C
    Inflection point
  4. D
    Saddle point

Correct answer

Local minimum

Explanation

Second derivative test: f'(a) = 0 and f''(a) > 0 → local minimum. f''(a) < 0 → local maximum. f''(a) = 0 → test inconclusive.

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